# math

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A tree casts a shadow that is 20 feet long. The angle of elevation from the end of the shadow to the top of tree is 66 degrees. Determine the height of the tree, to the nearest foot.

• math -

Draw right triangle and high marked wid h, lenght of shadow marked wit s.
Angle off 66° betwen horizontal line and sloping line mark with á.
Then:
tan(á)=h/s
h=s*tan(á)
h=20*tan(66°)=20*2.246037=44.92074ft

• math -

In My answer á mean Greek letter Alpha

• math -

If the height of the building is 250 feet,the angle of the shadow is 49 degress, what is the distance from the top of a building to the tip of its shadow?

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